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Finding the Fourth Proportional to 2,505.09, 3,460.34 and 1,922.84

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Solution

The fourth proportional to 2,505.09, 3,460.34 and 1,922.84 is: 2,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.09 : 3,460.34 = 1,922.84 : x
  2. Step 2: Convert to fraction form
    2,505.09/3,460.34 = 1,922.84/x
  3. Step 3: Cross multiply
    2,505.09x = 3,460.34 × 1,922.84
  4. Step 4: Simplify right side
    2,505.09x = 6,653,653.25
  5. Step 5: Solve for x
    x = 6,653,653.25/2,505.09
  6. Step 6: Final answer
    x = 2,656.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.